Vibration Analysis of Hollow Tapered Shaft Rotor

P M G Bashir Asdaque,R K Behera

doi:10.1155/2014/410851

P M G Bashir Asdaque, R K Behera

Open Access

https://doi.org/10.1155/2014/410851

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Abstract

Shafts or circular cross-section beams are important parts of rotating systems and their geometries play important role in rotor dynamics. Hollow tapered shaft rotors with uniform thickness and uniform bore are considered. Critical speeds or whirling frequency conditions are computed using transfer matrix method and then the results were compared using finite element method. For particular shaft lengths and rotating speeds, response of the hollow tapered shaft-rotor system is determined for the establishment of dynamic characteristics. Nonrotating conditions are also considered and results obtained are plotted.

Highlights

Shaft is a major component of any rotating system, used to transmit torque and rotation
Geometry of shaft is of the main concern during the study of any rotating system
Nelson [9] again formulated the equations of motion for a uniform rotating shaft element using deformation shape functions developed from Timoshenko beam theory including the effects of translational and rotational inertia, gyroscopic moments, bending and shear deformation, and axial load

Summary

Introduction

Shaft is a major component of any rotating system, used to transmit torque and rotation. Nelson [9] again formulated the equations of motion for a uniform rotating shaft element using deformation shape functions developed from Timoshenko beam theory including the effects of translational and rotational inertia, gyroscopic moments, bending and shear deformation, and axial load. Greenhill et al [10] derived equation of motion for a conical beam finite element form Timoshenko beam theory and include effects of translational and rotational inertia, gyroscopic moments, bending and shear deformation, axial load, and internal damping. Mohiuddin and Khulief [12] derived a finite element model of a tapered rotating cracked shaft for modal analysis and dynamic modeling of a rotor-bearing system, based on Timoshenko beam theory, that is, included shear deformation and rotary inertia. Frequency response of the rotor system for an impulse of unit force at the free end is determined in terms of critical speeds for various rotor speeds and shaft lengths

Transfer Matrix Method

Finite Element Method

Numerical Results

Conclusions

E: Modulus of elasticity